Looking for access to original paper for Category OComparing two similar procedures for quantizing a Casimir...



Looking for access to original paper for Category O


Comparing two similar procedures for quantizing a Casimir Lie algebraWhat is a concomitant (and other questions on D.E. Littlewood's “Products and plethysms of characters with orthogonal, symplectic, and symmetric groups” )?What is the “permanence relation” really?Invariant functor for admissible representations of reductive groups over local fieldsIs there a gerbe Beilinson-Bernstein Localization?reference for list of left-regular representations of real associative algebrasBuilding a representation out of a generalized Verma moduleUpdate on list of open problems for Cherednik/Symplectic Reflection AlgebrasFailure of surjectivity in Hotta-Springer specialization: examples for special unipotents?BGG resolution for characters of reductive groups













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It is well-known that the BGG category $mathcal{O}$ was introduced in the early 1970s by Joseph Bernstein, Israel Gelfand and Sergei Gelfand. I google for a while but I cannot find out the original paper for defining Category $mathcal{O}$. Does anyone know where to find or what is the name of the paper? Please help me.






rt.representation-theory







share|cite|improve this question









$endgroup$












  • $begingroup$
    The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
    $endgroup$
    – Jim Humphreys
    1 hour ago


















2












$begingroup$


It is well-known that the BGG category $mathcal{O}$ was introduced in the early 1970s by Joseph Bernstein, Israel Gelfand and Sergei Gelfand. I google for a while but I cannot find out the original paper for defining Category $mathcal{O}$. Does anyone know where to find or what is the name of the paper? Please help me.






rt.representation-theory







share|cite|improve this question









$endgroup$












  • $begingroup$
    The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
    $endgroup$
    – Jim Humphreys
    1 hour ago
















2












2








2





$begingroup$


It is well-known that the BGG category $mathcal{O}$ was introduced in the early 1970s by Joseph Bernstein, Israel Gelfand and Sergei Gelfand. I google for a while but I cannot find out the original paper for defining Category $mathcal{O}$. Does anyone know where to find or what is the name of the paper? Please help me.






rt.representation-theory







share|cite|improve this question









$endgroup$




It is well-known that the BGG category $mathcal{O}$ was introduced in the early 1970s by Joseph Bernstein, Israel Gelfand and Sergei Gelfand. I google for a while but I cannot find out the original paper for defining Category $mathcal{O}$. Does anyone know where to find or what is the name of the paper? Please help me.






rt.representation-theory




rt.representation-theory






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked 2 hours ago









James CheungJames Cheung

36516




36516












  • $begingroup$
    The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
    $endgroup$
    – Jim Humphreys
    1 hour ago




















  • $begingroup$
    The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
    $endgroup$
    – Jim Humphreys
    1 hour ago


















$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
1 hour ago






$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
1 hour ago












1 Answer
1






active

oldest

votes


















6












$begingroup$

Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    1 hour ago











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1 Answer
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1 Answer
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active

oldest

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active

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active

oldest

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6












$begingroup$

Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    1 hour ago
















6












$begingroup$

Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    1 hour ago














6












6








6





$begingroup$

Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)






share|cite|improve this answer











$endgroup$



Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited 1 hour ago

























answered 2 hours ago









Carlo BeenakkerCarlo Beenakker

77.5k9182286




77.5k9182286












  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    1 hour ago


















  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    1 hour ago
















$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
1 hour ago




$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
1 hour ago


















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